Add 21/7 and 42/27
1st number: 3 0/7, 2nd number: 1 15/27
21/7 + 42/27 is 41/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
21/7 = 21 × 27/7 × 27 = 567/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
567/189 + 294/189 = 567 + 294/189 = 861/189 - 861/189 simplified gives 41/9
- So, 21/7 + 42/27 = 41/9
In mixed form: 45/9
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